Since Balas and Zemel in the 1980s introduced the so-called core problem as an efficient tool for solving the Knapsack Problem, all the most successful algorithms have applied this concept. Balas and ...

The unbounded knapsack problem: given a knapsack of some capacity and a set of items that have a weight and a value, determine the maximum value of items you can place in your knapsack. The number of ...

Management Science, Vol. 34, No. 3, Focussed Issue on Heuristics (Mar., 1988), pp. 402-410 (9 pages) A new approximate algorithm for multidimensional zero-one knapsack problems with all positive ...